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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 323400.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
323400.e1 | 323400e1 | \([0, -1, 0, -3321208, -2328551588]\) | \(-206707387264420/363\) | \(-7114800000000\) | \([]\) | \(3870720\) | \(2.1536\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 323400.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 323400.e do not have complex multiplication.Modular form 323400.2.a.e
sage: E.q_eigenform(10)